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Weak specification properties and large deviations for non-additive potentials

Published online by Cambridge University Press:  09 October 2013

PAULO VARANDAS  and
YUN ZHAO
PAULO VARANDAS
Affiliation:
Departamento de Matemática, Universidade Federal da Bahia, Av. Ademar de Barros s/n, 40170-110 Salvador, Brazil email paulo.varandas@ufba.br
YUN ZHAO
Affiliation:
Departament of Mathematics, Soochow University, Suzhou 215006, Jiangsu, P.R. China email zhaoyun@suda.edu.cn
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Abstract

We obtain large deviation bounds for the measure of deviation sets associated with asymptotically additive and sub-additive potentials under some weak specification properties. In particular, a large deviation principle is obtained in the case of uniformly hyperbolic dynamical systems. Some applications to the study of the convergence of Lyapunov exponents are given.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 35 , Issue 3 , May 2015 , pp. 968 - 993
Copyright
© Cambridge University Press, 2013 

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